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Types of Data Types of Curves Central Tendency Variability Causal Comparative and Correlation Research
The primary purpose for causal comparative research is to compare existing groups (men vs women, upper class vs lower class). The question in your text concerning how to categorize people is resolved when it is a matter of self-report. The respondent is asked what is your gender, ethnicity, age, etc., and the researcher assumes that the respondent knows the answers to these questions and that the respondent will answer the question honestly. Until other methods are created, this is still the best way to identify groups. These groups must be discrete --- this means each individual is clearly in one and only one of the groups. The primary purpose for correlational research is to examine the degree (magnitude, strength) and direction of relationships. Correlational research can be used in comparing groups or individuals and can be used for prediction or for simply describing relationships. A correlation is the association between scores (or measures) on two or more variables. The correlation coefficient ranges from +1 to -1 with the sign indicating the direction of the relationship and the number indicating the strength of the relationship. When interpreting correlations, be sure to (1) use the names of the variables, (2) explain the direction in words other than positive/negative, and (3) evaluate the strength in words - not numbers. Example:
2) Approximate the regression line 3) Estimate the correlation 4) Interpret the correlation
2) Ordinal -- logical order to groups 3) Interval -- scores have equal intervals between them 4) Ratio -- scores have equal intervals between them and a true zero point
Skewed -- negative / positive Kurtotic -- mesokurtic, leptokurtic, platykurtic Bimodal --
two modes, so has two peaks
Median - the point at which 50% of the scores fall below it and 50% of the scores fall above it; used with ordinal data Mode - the score that occurs most frequently
Standard deviation and variance = used
with interval or ratio data
Example: Typing Speed per Minute
2. Create a frequency table 3. Create a histogram 4. Describe the shape of the distribution 5. Find the mode, median, and mean 6. Identify the best measure of central tendency 7. Find the range 8. Identify the best measure of variation
The validity of the research study
Or: (1) Did the independent variable really bring about the observed change on the dependent? This is referred to as INTERNAL validity. (5) How well do the results generalize beyond the setting of the study? This is referred to as EXTERNAL validity.
Identify rival hypothesis (ses) A study is internally valid only to the extent that extraneous variables are controlled / adjusted for. Because extraneous variables occur concomitantly with the treatment, they can become confounded with it. Twelve Threats to Internal Validity
use of control group can help assess this and adjust for it researcher should list variables controlled for and these should be the same in each group. 2. Maturation - the physiological and biological development that takes place in an individual over a period of time especially in longitudinal studies ; use of control group can help assess this and adjust for it 3. Statistical Regression - regression toward the mean due to imperfect relationship between pre and post test especially when group is homogeneous (low or high) ; use of control group can help assess this and adjust for it 4. Instrumentation - changes that occur in the instrument or observational procedures (reason for evidence of validity and reliability of instrument); observer bias; use more than one observer and conduct inter-rater reliability 5. Testing - may effect subsequent test results especially tests of attitude, achievement tests involving memory; use of control group can help assess this and adjust for it 6. Mortality - loss of subjects; is a threat to sampling bias; use samples greater than 30 7. Differential Selection - population and sample are arbitrarily defined by researcher population is group to which the results from the sample will be generalized, therefore, sample must be representative of the population; random sampling from the population. Even when randomization is used, the chance exists that the sample selected may not be representative of the population. 8. Selection-Maturation Interaction - same as Differential Selection except that maturation is the specific confounding variable; are effects due to age? 9. Experimental Treatment Diffusion - members of control group may seek access to treatment; this may happen across teachers or students; contact between the two groups should be minimized 10. Compensatory Rivalry by the Control Group - John Henry effect: control group performs beyond what could be expected, because they perceive that they are in competition with the treatment group; effects may be due to unusual motivation; can be provoked by teachers 11. Compensatory Equalization of Treatments - Administers of the treatment / control may want to equalize what each group receives if one group is getting goods or services that are desirable; if the goods or services effect post test scores then effects of the treatment are obscured. 12. Resentful Demoralization of the Control Group - opposite of Compensatory Rivalry by the Control Group; control group performs below what could be expected, because they perceive that they are not getting the special favors that the treatment group is getting; effects may be due to unusual lack of motivation; can be provoked by teachers Eight Threats to External Validity
How relevant are the findings to the population beyond the sample 1. Explicit description of the experimental treatment - describe treatment in sufficient detail that another researcher could replicate it; if the treatment works, other educators will want to use it; is there sufficient detail so that they can? 2. Multiple Treatment Interference - separation of effects is difficult; is the treatment effective by itself or only as in interacts with other treatments; only administer one treatment to each subject 3. Reactive Effects of Experimental Treatment - re: the Hawthorne effect or the placebo effect; because participants get special attention, differences occur due to this special attention and not due to the treatment 4. Experimenter Effect - the treatment may be effective simply because the administrator is more effective than whoever is in charge of the control group 5. Interaction of Testing and Treatment
- when testing procedure is unusual or involves deception, perceptual or
cognitive restructuring, surprise, stress
[b] Pretest Sensitization -- pretest becomes a part of the treatment and usually interacts with the treatment and the post test; may need to conduct the experiment with and without a pretest [c] Post test Sensitization -- post
test becomes a part of the treatment and may interact with the treatment
becoming a learning experience in its own right; this has not been studied
as an experimental phenomenon
7. Interaction of Selection and Treatment
- form a broad cross-section of subjects
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